Singularity properties of killing magnetic curves in Minkowski 3-space

Abstract

We define the coordinate equations of killing magnetic curves [Formula: see text] in [Formula: see text] with the magnetic vector field [Formula: see text] under the frame [Formula: see text]. In particular, this yields to describe the geometrical properties and singularities of the magnetic curves and the magnetic normal binormal surfaces. Meanwhile, we establish the relationships between singularity types of the magnetic normal binormal surfaces and geometrical invariants of the magnetic curves. As an application, we give an example to explain the main results in this paper, where we give the classification of singularity types of the magnetic curves.